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jarptica [38.1K]
3 years ago
13

If x2+y2=40 and xy=5 then find(x+y)2

Mathematics
1 answer:
VMariaS [17]3 years ago
8 0

Answer:

(x + y)^2 = 45

Step-by-step explanation:

(x + y)^{2} = x^{2}  +xy + y^{2}

             = 40 + 5 = 45

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Kayla says that the point labeled C in the diagram below is the center. Raymond says that point C is the radius.
frutty [35]

Answer:

Kayla is correct The center is a fixed  point in the middle of the sphere

Step-by-step explanation:

In mathematics we have certain habit of rules for notation of points, coordinates, segments, angles and so on.

Usually we denote points,  by letters even more we denote with the first letter of the object we are denoting

Occasionally, we also denote  segments as radius in a circle and in a sphere, with letters,  that is r stands for  radius, h stands for height, in most cases we denote point for capital letters ( in a segment)  

When we denote radius, with small letter it should be placed at the center or over the segment we are traying to denote.

For points we only need to place the letter close to the to the point we want to denote.

Therefore Kayla is correct when says that c stand for " the center of the sphere"

8 0
2 years ago
Read 2 more answers
√₂
snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned.
  • P = principal invested.
  • r = interest rate (in decimal form).
  • t = time (in years).

Given:

  • Total P = $7000
  • P₁ = principal invested at 5%
  • P₂ = principal invested at 8%
  • Total interest = $500
  • r₁ = 5% = 0.05
  • r₂ = 8% = 0.08
  • t = 1 year

Create two equations from the given information:

\textsf{Equation 1}: \quad \sf P_1+P_2=7000

\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500

Rewrite Equation 1 to make P₁ the subject:

\implies \sf P_1=7000-P_2

Substitute this into Equation 2 and solve for P₂:

\implies \sf 0.05(7000-P_2)+0.08P_2=500

\implies \sf 350-0.05P_2+0.08P_2=500

\implies \sf 0.03P_2=150

\implies \sf P_2=\dfrac{150}{0.03}

\implies \sf P_2=5000

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\implies \sf P_1+5000=7000

\implies \sf P_1=7000-5000

\implies \sf P_1 = 2000

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0
1 year ago
The area of the sahara desert is 7 times the area of the gobi desert if the are of the sahara is approximately 3.5 million squar
Andreyy89

Answer: 500,000

Step-by-step explanation:

3.5M/7=500,000

3 0
2 years ago
A homeowner plans to remodel her bathroom,- and she’s chosen 1-foot-by-1 foot ceramic tiles for the floor. The bathroom is 8 fee
Cerrena [4.2K]

a.)102*88=8976 in total.

8976/12=748 tiles

b.) 4*748=2992 dollars

c.) yes it qualifies

hope this is correct, if not, sorry for the inconvenience...

8 0
3 years ago
A grocery store sells coffee beans in bulk. What is the price per pound for the coffee?
ehidna [41]
Six dollars is the only answer that seems correct using the graph. Hope this helped.
6 0
2 years ago
Read 2 more answers
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